Superexponential diffusion in nonlinear non-Hermitian systems

Topological characteristics of gap closing points in nonlinear Weyl semimetals

“…Finally, the study of nonlinear effects on other systems is still in its infancy and surely many remains to be discovered. Such systems include higher-order topological systems [85][86][87][88][89][90][91][92], Floquet systems [93][94][95][96][97][98][99], and non-Hermitian systems [100][101][102][103][104][105][106][107][108][109][110][111][112][113][114][115][116]. Even among topological semimetals, many different phases could be investigated, such as nodal line semimetals [117], type-II Weyl semimetals [118][119][120], multi-Weyl semimetals [121,122], and triple-fermion semimetals [123].…”

Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators

“…In has been found that Hamiltonian with parity-time (𝒫𝒯 ) symmetry owns real eigenspectra. [14][15][16] Such a fascinating feature motivates research in optical waveguides, [17][18][19][20][21][22][23][24][25][26][27] cold atom systems, [28][29][30][31][32] Floquet systems, [32][33][34][35][36][37][38][39][40][41][42] etc. In particular, a lot of exotic phenomena have been found in kicking systems (systems subject to periodical pulses) with 𝒫𝒯 -symmetry.…”

Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals

“…Recently, the Floquet approach has been applied to engineer topological phases in non-Hermitian systems. Notably, it was found that the interplay between timeperiodic driving fields and gain and loss or nonreciprocal effects could yield topological phases that are unique to non-Hermitian Floquet systems [37][38][39][40][41][42][43][44]. These intriguing phases are characterized by large integer or half-integer winding numbers and degenerate Floquet edge or corner states with real quasienergies [37][38][39][40][41][42][43].…”

“…Notably, it was found that the interplay between timeperiodic driving fields and gain and loss or nonreciprocal effects could yield topological phases that are unique to non-Hermitian Floquet systems [37][38][39][40][41][42][43][44]. These intriguing phases are characterized by large integer or half-integer winding numbers and degenerate Floquet edge or corner states with real quasienergies [37][38][39][40][41][42][43]. Their topological signatures may further be extracted experimentally from the dynamical spin textures and quantized displacements of wavepackets [44].…”